Damping Properties of Three-Layered Shallow Spherical Shells with a Constrained Viscoelastic Layer

Okazaki, Akihiko; Urata, Yoshihiko; Tatemichi, Aritoshi

doi:10.1299/jsmea1988.33.2_145

Cited by 6 publications

(4 citation statements)

References 4 publications

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“…where (33) are generalised displacements of the finite element and (34) is the vector of the displacement parameters at node i. Here (35) where N i are the shape functions for node i expressed in terms of local triangular coordinate system (L 1 ,L 2 ,L 3 ) of the finite element and I 9 is the unit 9 × 9 matrix.…”

Section: Finite Element Formulationmentioning

confidence: 99%

“…Vibrational damping analysis of laminated composite beam and plates has been investigated by several authors [14,19,25,32,42]. The application to laminated shells is discussed, for example, in References [2,3,8,15,22,23,33,35,43,44,48]. Though the damping characteristics of laminated composite structures have been studied extensively, studies of sandwich composite structures are limited.…”

Section: Introduction Dmentioning

confidence: 99%

“…A finite element based on the discrete layer theory and taking into account the shear deformations was used for analysis of spherical shells with a viscoelastic core in Reference [15]. Damping properties of three-layered shallow spherical shells have been studied in Reference [33]. Expressing the in-plane displacements in terms of auxiliary functions, the general solution of the equations of motion for non-axisymmetric modes was given in terms of Bessel's functions.…”

Section: Introduction Dmentioning

confidence: 99%

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Free Damped Vibrations of Sandwich Shells of Revolution

Korjakin

Rikards

Altenbach

et al. 2001

Jnl of Sandwich Structures & Materials

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Using a zig-zag model the free damped vibrations of sandwich shells of revolution are investigated. As special cases the vibration analysis under consideration of damping of cylindrical, conical and spherical sandwich shells is performed. A specific sandwich shell finite element with 54 degrees of freedom is employed. Starting from the energy method the damping model is developed. Numerical examples for the free vibration analysis with damping based on the proposed finite element approach are discussed. Results for sandwich shells show a satisfactory agreement with various reference solutions.

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Section: Finite Element Formulationmentioning

confidence: 99%

Section: Introduction Dmentioning

confidence: 99%

Section: Introduction Dmentioning

confidence: 99%

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Free Damped Vibrations of Sandwich Shells of Revolution

Korjakin

Rikards

Altenbach

et al. 2001

Jnl of Sandwich Structures & Materials

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“…Okazaki et al [10] carried out a theoretical analysis of damping of the flexural vibration of a threelayer shallow spherical shell with a constrained viscoelastic layer. The influence of changes in the opening angle, shear parameter, layer thickness, and introduced boundary conditions on shell vibration was studied in terms of Bessel functions.…”

Section: Introductionmentioning

confidence: 99%

Chaotic vibrations of flexible shallow axially symmetric shells

et al. 2018

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In this work, chaotic dynamics of flexible spherical axially symmetric shallow shells subjected to sinusoidal transverse load is studied with emphasis put on the vibration modes. Chaos reliability is verified and validated by solving the implemented mathematical model by partial nonlinear equations governing the dynamics of flexible spherical shells and by estimating the signs of the largest Lyapunov exponents with the help of qualitatively different approaches. It is shown how the scenario of transition of the investigated shells from regular to chaotic vibrations depends on the boundary condition. The following cases are considered: (1) movable and fixed simple supports along the shell contours, taking into account shell stiffness (Feigenbaum scenario) and shell damping (RuelleTakens-Newhouse scenario), and (2) movable clamping (regular shell vibrations). The presence of dents, the location and character of which essentially depend on the shell geometric parameters, boundary conditions, and the external load parameters, is detected in some regions of the shell surface and discussed.

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Vibration and damping analysis of conical shells with constrained damping treatment

Ramesh

Ganesan

1993

Finite Elements in Analysis and Design

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Damping Properties of Three-Layered Shallow Spherical Shells with a Constrained Viscoelastic Layer

Cited by 6 publications

References 4 publications

Free Damped Vibrations of Sandwich Shells of Revolution

Free Damped Vibrations of Sandwich Shells of Revolution

Chaotic vibrations of flexible shallow axially symmetric shells

Vibration and damping analysis of conical shells with constrained damping treatment

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